Asymptotic expansion at infinity of solutions of Monge–Ampère type equations. (November 2021)

• Record Type: Journal Article
• Authors: Liu, Zixiao; Bao, Jiguang
• Is Part Of: Nonlinear analysis. Volume 212(2021)
• Publication Date: 2021-11
• Subjects: 35J60 -- 35B40; Monge–Ampère equation -- Mean curvature equation -- Asymptotic expansion; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112450
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We obtain a quantitative expansion at infinity of solutions for a kind of Monge–Ampère type equations that origin from mean curvature equations of Lagrangian graph ( x, D u ( x ) ) and refine the previous study on zero mean curvature equations and the Monge–Ampère equations.